Question #e39a0

1 Answer
Oct 18, 2017

#-2*{x-(-1)}^2+8#

Explanation:

#-2*(x+3)(x-1)#
#= -2*(x^2+3*x-x-3)#
#= -2*(x^2+2*x-3)#
#= -2*(x^2+2*x+1) +8#
#= -2*(x+1)^2 +8#
#= -2*{x-(-1)}^2 +8#
It is the vertex form of the equation.

Note that a equation is said to be in vertex form if it is in the form #a*(x-h)^2 +k# where x is variable & others are constant.